Surfaces, Familiar and Strange

https://www2.bc.edu/john-sullivan-13/Klein%20Bottle.gif

This session follows on from the previous one but essentially starts from scratch, so there are no prerequisites or things we expect you to know. Everyone is welcome, even if it's your first time.

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We all live on the surface of a sphere: in this session we'll encounter this and other two-dimensional surfaces.

We'll draw "models" of exotic spaces such as the non-orientable Mobius strip, where left- and right-handed gloves can be converted into each other by moving them around and the Klein Bottle (pictured) which is two-dimensional but can only exist in four-dimensional space.

We'll look at how to use these representations to construct new surfaces and investigate their properties. If there's time we'll also discuss embedding graphs in surfaces and the Euler Characteristic, which is related to a well-known puzzle (http://www.arandomgame.com/index.php?game_id=899).